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Finding the Fourth Proportional to 64,152,065.10, 96,228,097.65 and 64,152,065.10

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Solution

The fourth proportional to 64,152,065.10, 96,228,097.65 and 64,152,065.10 is: 96,228,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,152,065.10 : 96,228,097.65 = 64,152,065.10 : x
  2. Step 2: Convert to fraction form
    64,152,065.10/96,228,097.65 = 64,152,065.10/x
  3. Step 3: Cross multiply
    64,152,065.10x = 96,228,097.65 × 64,152,065.10
  4. Step 4: Simplify right side
    64,152,065.10x = 6,173,231,184,891,958
  5. Step 5: Solve for x
    x = 6,173,231,184,891,958/64,152,065.10
  6. Step 6: Final answer
    x = 96,228,097.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.